# Stored data for newform 266.2.f.a, downloaded from the LMFDB on 24 April 2024. {"label": "266.2.f.a", "space_label": "266.2.f", "level": 266, "weight": 2, "hecke_orbit": 1, "hecke_orbit_code": 343630938378, "dim": 2, "is_polredabs": true, "nf_label": "2.0.3.1", "trace_hash": 2028866182145297115, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[3, [0, 1]]], "qexp_display": "q+(-1+\\zeta_{6})q^{2}-\\zeta_{6}q^{4}+(-1+\\zeta_{6})q^{5}+\\cdots", "char_order": 3, "char_parity": 1, "char_degree": 2, "char_conductor": 19, "char_orbit_label": "f", "char_is_real": false, "Nk2": 1064, "analytic_conductor": 2.124020693766058, "hecke_ring_index": 1, "level_radical": 266, "field_poly_is_cyclotomic": true, "field_poly_root_of_unity": 6, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": false, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": {"__RealLiteral__": 0, "data": "0.010", "prec": 17}, 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-64, 0, 13, 4, 0, -4, -8, 0, 60, 10, -72, -1, -18, 0, 46, 20, 0, 2, 0, -6, -34, 0, 0, -68, 42, 0, -13, 0, 18, -4, 0, 0, -12, -1, 0, -37, -24, 24, 0, -4, 0, -10, 46, 0, 10, 3, -54, 5, 18, 0, 28, 39, 0, -27, -15, 0, 6, 2, 0, 37, 150, 0, -16, 5, 18, -6, -36, 0, -1, -22, 0, 36, 0, -15, -58, 24, 0, 0, -17, 0, -4, 7, 0, -16, 18, 0, 140, 4, 0, 0, 22, -6, -17, 5, 0, 48, 9, 0, -30, 40, -54, 4, 3, 0, 57, -14, 0, 24, 41, 0, 12, 16, 0, -14, -74, 0, 0, 2, 60, -20, -42, 0, -2, 0, 0, 35, -16, -6, 31, -4, 0, 15, -8, 0, -17, -24, 0, -18], "weight_parity": 1, "has_non_self_twist": 1, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], "char_orbit_index": 6, "prim_orbit_index": 3, "minimal_twist": "266.2.f.a", "char_is_minimal": true, "conrey_index": 197, "id": null, "fricke_eigenval": null, "atkin_lehner_string": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "atkin_lehner_eigenvals": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0], [1, 0], [-1, 1], [0, 0], [0, -1], [-1, 1], [0, 0], [1, 0], [1, 0], [0, 3], [0, -1], [-2, 0], [0, 0], [0, 5], [-1, 1], [0, 0], [-1, 1], [0, 0], [-3, 0], [-3, 5], [1, 0], [0, 0], [2, -2], [0, -1], [0, 0], [0, 4], [-5, 0], [0, 0], [0, -1], [0, -6], [0, 0], [4, 0], [0, -1], [0, 0], [0, 0], [-1, 1], [3, -3], [-4, 0], [-2, -3], [0, 0], [-1, 1], [2, -2], [0, 0], [8, -8], [0, 2], [-3, 0], [1, 0], [0, 0], [0, 0], [1, 0], [-4, 0], [0, 0], [5, -5], [0, 2], [0, 0], [2, -2], [1, 0], [0, 0], [6, 0], [7, -7], [0, 0], [0, 7], [-4, 4], [0, 3], [1, 0], [-5, 0], [0, 0], [0, -12], [0, 0], [0, 0], [0, -1], [15, -15], [0, 3], [14, -14], [4, -4], [0, 0], [5, -2], [-2, 0], [0, 0], [4, -4], [0, -1], [-9, 9], [0, 2], [-7, 0], [0, 0], [0, 0], [0, 8], [0, 0], [-2, 0], [0, 0], [3, -3], [0, 5], [-1, 1], [0, 0], [0, 0], [-2, -3], [0, 0], [-12, 12], [-1, 1], [0, -6], [4, -4]]}